
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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![Part 1) Write pseudocode for an iterative algorithm which finds the maximum value of a list
of integers. Use a loop invariant to prove your algorithm is correct. (Presumably you have
already witten a program like this over the course of your studies! The interesting part here
is the proof.)
Part 2) Prove by induction the recursive program Foo is correct:
Foo determines if there are two indices i and j, p<i < j< q, such that a; +a; = x.
(We're looking in a particular range of sorted list A, indices [p, q] (so including index p as
well as index q), for two values a; and a, which sum to r. We don't allow i and j to be equal.)
laj](https://content.bartleby.com/qna-images/question/8e70b45f-31c5-4a61-8441-88230aa0982d/774b5551-939c-4ade-b015-babfaa5355f1/q3v3ssd.jpeg)
Transcribed Image Text:Part 1) Write pseudocode for an iterative algorithm which finds the maximum value of a list
of integers. Use a loop invariant to prove your algorithm is correct. (Presumably you have
already witten a program like this over the course of your studies! The interesting part here
is the proof.)
Part 2) Prove by induction the recursive program Foo is correct:
Foo determines if there are two indices i and j, p<i < j< q, such that a; +a; = x.
(We're looking in a particular range of sorted list A, indices [p, q] (so including index p as
well as index q), for two values a; and a, which sum to r. We don't allow i and j to be equal.)
laj
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- Let ∑={a,b} and T be the set of words in ∑* that have no consecutive a’s (i.e. there cannot be 2 or more a’s in a row). (a) Give a recursive definition for the set T. (b) Use your recursive definition to show that the string “abbaba” is in T. (c) Is your recursive definition uniquely determined? Explain why or why not.arrow_forward1. Given, nCr= n! (n-r)!r!" Write a function to compute nCr without recursion.arrow_forward
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